### Home > CALC > Chapter 1 > Lesson 1.2.4 > Problem 1-70

1-70.

Selected values of a continuous *even* function are shown below. ).

Find

,and.Definition of an even function:

.Since

then, by definition,as well.Sketch a possible graph of

on the domain. Sketch another possible graph of

on the domain. There are many ways to connect the points, just make sure you maintain symmetry over the

-axis.Could the graph of

be a parabolic function? If so, find a possible equation of. If not, explain.Can you draw a parabola through all of these points? Give it a try.

Use the eTool below to view the graphs of some possible functions.

Click the link at right for the full version of the eTool: *Calc 1-70 HW eTool*